Influence of baroclinic vorticity production on unsteady drag coefficient in shock–particle interaction
Abstract
The influence of baroclinic vorticity production on the unsteady drag coefficient in shock–particle interaction is numerically studied in this work. Numerical simulations are performed for shock–particle interaction utilizing a high–resolution axisymmetric solver for the Euler equations that allows for multi-material interface and shock propagation in both the particle and surrounding medium. We consider an aluminum particle in nitromethane and allow for particle deformation. We compute the vorticity production and unsteady drag coefficient as a function of time to explain the complex physical mechanisms that occur during shock–particle interaction. We observe baroclinic vorticity production as the shock propagates over the particle and find that the vorticity is primarily generated at the surface of the particle. After the passage of the shock over the particle, the generated vortex traverses downstream, thus creating a sharpened particle edge and low pressure on the downstream side of the particle, followed by the trapping of the vortex at the particle edge. These mechanisms lead to the generation of a quasi-steady drag force even after the passage of the shock, thus suggesting the importance of baroclinic vorticity production to the unsteady drag coefficient. Finally, we compute the unsteady drag coefficient for various shock Mach numbers and particlemore »
- Authors:
-
- Univ. of Florida, Gainesville, FL (United States)
- Publication Date:
- Research Org.:
- Univ. of Florida, Gainesville, FL (United States)
- Sponsoring Org.:
- USDOE National Nuclear Security Administration (NNSA); Defense Threat Reduction Agency (DTRA)
- OSTI Identifier:
- 1614518
- Grant/Contract Number:
- NA0002378; HDTRA1-14-1-0028
- Resource Type:
- Accepted Manuscript
- Journal Name:
- Journal of Applied Physics
- Additional Journal Information:
- Journal Volume: 125; Journal Issue: 8; Journal ID: ISSN 0021-8979
- Publisher:
- American Institute of Physics (AIP)
- Country of Publication:
- United States
- Language:
- English
- Subject:
- 71 CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS; Physics; Fluid drag; Particle physics; Multiphase flows; Vortex dynamics; Shock waves
Citation Formats
Fujisawa, K., Jackson, T. L., and Balachandar, S. Influence of baroclinic vorticity production on unsteady drag coefficient in shock–particle interaction. United States: N. p., 2019.
Web. doi:10.1063/1.5055002.
Fujisawa, K., Jackson, T. L., & Balachandar, S. Influence of baroclinic vorticity production on unsteady drag coefficient in shock–particle interaction. United States. https://doi.org/10.1063/1.5055002
Fujisawa, K., Jackson, T. L., and Balachandar, S. Fri .
"Influence of baroclinic vorticity production on unsteady drag coefficient in shock–particle interaction". United States. https://doi.org/10.1063/1.5055002. https://www.osti.gov/servlets/purl/1614518.
@article{osti_1614518,
title = {Influence of baroclinic vorticity production on unsteady drag coefficient in shock–particle interaction},
author = {Fujisawa, K. and Jackson, T. L. and Balachandar, S.},
abstractNote = {The influence of baroclinic vorticity production on the unsteady drag coefficient in shock–particle interaction is numerically studied in this work. Numerical simulations are performed for shock–particle interaction utilizing a high–resolution axisymmetric solver for the Euler equations that allows for multi-material interface and shock propagation in both the particle and surrounding medium. We consider an aluminum particle in nitromethane and allow for particle deformation. We compute the vorticity production and unsteady drag coefficient as a function of time to explain the complex physical mechanisms that occur during shock–particle interaction. We observe baroclinic vorticity production as the shock propagates over the particle and find that the vorticity is primarily generated at the surface of the particle. After the passage of the shock over the particle, the generated vortex traverses downstream, thus creating a sharpened particle edge and low pressure on the downstream side of the particle, followed by the trapping of the vortex at the particle edge. These mechanisms lead to the generation of a quasi-steady drag force even after the passage of the shock, thus suggesting the importance of baroclinic vorticity production to the unsteady drag coefficient. Finally, we compute the unsteady drag coefficient for various shock Mach numbers and particle ellipticities.},
doi = {10.1063/1.5055002},
journal = {Journal of Applied Physics},
number = 8,
volume = 125,
place = {United States},
year = {Fri Feb 22 00:00:00 EST 2019},
month = {Fri Feb 22 00:00:00 EST 2019}
}
Web of Science
Works referenced in this record:
Efficient implementation of essentially non-oscillatory shock-capturing schemes, II
journal, July 1989
- Shu, Chi-Wang; Osher, Stanley
- Journal of Computational Physics, Vol. 83, Issue 1
A Multiphase Godunov Method for Compressible Multifluid and Multiphase Flows
journal, April 1999
- Saurel, Richard; Abgrall, Rémi
- Journal of Computational Physics, Vol. 150, Issue 2
Dispersion of a cloud of particles by a moving shock: Effects of the shape, angle of rotation, and aspect ratio
journal, November 2013
- Davis, S. L.; Dittmann, T. B.; Jacobs, G. B.
- Journal of Applied Mechanics and Technical Physics, Vol. 54, Issue 6
Drag of nonspherical particles in a flow behind a shock wave
journal, January 2005
- Boiko, V. M.; Poplavskii, S. V.
- Combustion, Explosion, and Shock Waves, Vol. 41, Issue 1
Restoration of the contact surface in the HLL-Riemann solver
journal, July 1994
- Toro, E. F.; Spruce, M.; Speares, W.
- Shock Waves, Vol. 4, Issue 1
Circulation deposition on shock-accelerated planar and curved density-stratified interfaces: models and scaling laws
journal, June 1994
- Samtaney, Ravi; Zabusky, Norman J.
- Journal of Fluid Mechanics, Vol. 269
The regular reflection→Mach reflection transition in unsteady flow over convex surfaces
journal, December 2017
- Geva, M.; Ram, O.; Sadot, O.
- Journal of Fluid Mechanics, Vol. 837
An exact Riemann solver for compressible two-phase flow models containing non-conservative products
journal, March 2007
- Deledicque, Vincent; Papalexandris, Miltiadis V.
- Journal of Computational Physics, Vol. 222, Issue 1
Vorticity generation by shock propagation through bubbles in a gas
journal, April 1988
- Picone, J. M.; Boris, J. P.
- Journal of Fluid Mechanics, Vol. 189
Propagation of a strong shock over a random bed of spherical particles
journal, January 2018
- Mehta, Y.; Neal, C.; Salari, K.
- Journal of Fluid Mechanics, Vol. 839
An interface capturing method for the simulation of multi-phase compressible flows
journal, September 2010
- Shukla, Ratnesh K.; Pantano, Carlos; Freund, Jonathan B.
- Journal of Computational Physics, Vol. 229, Issue 19
Explosive dispersal of solid particles
journal, January 2001
- Zhang, F.; Frost, D. L.; Thibault, P. A.
- Shock Waves, Vol. 10, Issue 6
Shock interaction with a deformable particle: Direct numerical simulation and point-particle modeling
journal, January 2013
- Ling, Y.; Haselbacher, A.; Balachandar, S.
- Journal of Applied Physics, Vol. 113, Issue 1
Modeling of the unsteady force for shock–particle interaction
journal, May 2009
- Parmar, M.; Haselbacher, A.; Balachandar, S.
- Shock Waves, Vol. 19, Issue 4
Interaction of a shock with a sphere suspended in a vertical shock tube
journal, November 2003
- Tanno, H.; Itoh, K.; Saito, T.
- Shock Waves, Vol. 13, Issue 3
Shock interaction with solid particles in condensed matter and related momentum transfer
journal, March 2003
- Zhang, Fan; Thibault, Paul A.; Link, Rick
- Proceedings of the Royal Society of London. Series A: Mathematical, Physical and Engineering Sciences, Vol. 459, Issue 2031
Shock Tube Study of the Drag Coefficient of a Sphere in a Non-Stationary Flow
journal, August 1993
- Igra, O.; Takayama, K.
- Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 442, Issue 1915
The effect of an unsteady drag force on the structure of a non-equilibrium region behind a shock wave in a gas-particle mixture
journal, October 2007
- Saito, T.; Saba, M.; Sun, M.
- Shock Waves, Vol. 17, Issue 4
Two-Dimensional Simulation of Stripping Breakup of a Water Droplet
journal, May 2008
- Chen, H.
- AIAA Journal, Vol. 46, Issue 5
Aerobreakup in Rarefied Supersonic Gas Flows
journal, July 2004
- Theofanous, T. G.; Li, G. J.; Dinh, T. N.
- Journal of Fluids Engineering, Vol. 126, Issue 4
A Simple Method for Compressible Multifluid Flows
journal, January 1999
- Saurel, Richard; Abgrall, Rémi
- SIAM Journal on Scientific Computing, Vol. 21, Issue 3
Numerical simulations of the early stages of high-speed droplet breakup
journal, December 2014
- Meng, J. C.; Colonius, T.
- Shock Waves, Vol. 25, Issue 4
Particle momentum effects from the detonation of heterogeneous explosives
journal, June 2007
- Frost, D. L.; Ornthanalai, C.; Zarei, Z.
- Journal of Applied Physics, Vol. 101, Issue 11
Importance of unsteady contributions to force and heating for particles in compressible flows
journal, November 2011
- Ling, Y.; Haselbacher, A.; Balachandar, S.
- International Journal of Multiphase Flow, Vol. 37, Issue 9
Shock interaction with one-dimensional array of particles in air
journal, February 2015
- Sridharan, P.; Jackson, T. L.; Zhang, J.
- Journal of Applied Physics, Vol. 117, Issue 7
Strategies for efficient machine learning of surrogate drag models from three-dimensional mesoscale computations of shocked particulate flows
journal, November 2018
- Das, Pratik; Sen, Oishik; Choi, K. K.
- International Journal of Multiphase Flow, Vol. 108
Unsteady drag on a sphere by shock wave loading
journal, June 2005
- Sun, M.; Saito, T.; Takayama, K.
- Shock Waves, Vol. 14, Issue 1-2
Numerical simulation of collapsing volcanic columns with particles of two sizes
journal, April 1996
- Neri, Augusto; Macedonio, Giovanni
- Journal of Geophysical Research: Solid Earth, Vol. 101, Issue B4
Shock-Bubble Interactions
journal, January 2011
- Ranjan, Devesh; Oakley, Jason; Bonazza, Riccardo
- Annual Review of Fluid Mechanics, Vol. 43, Issue 1
On the unsteady inviscid force on cylinders and spheres in subcritical compressible flow
journal, March 2008
- Parmar, M.; Haselbacher, A.; Balachandar, S.
- Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, Vol. 366, Issue 1873
Shock interaction with deformable particles using a constrained interface reinitialization scheme
journal, February 2016
- Sridharan, P.; Jackson, T. L.; Zhang, J.
- Journal of Applied Physics, Vol. 119, Issue 6
Studies on shock interactions with moving cylinders using immersed boundary method
journal, June 2017
- Luo, Kun; Luo, Yujuan; Jin, Tai
- Physical Review Fluids, Vol. 2, Issue 6
A high-order WENO-Z finite difference based particle-source-in-cell method for computation of particle-laden flows with shocks
journal, March 2009
- Jacobs, Gustaaf B.; Don, Wai-Sun
- Journal of Computational Physics, Vol. 228, Issue 5
Interaction of a planar shock wave with a dense particle curtain: Modeling and experiments
journal, November 2012
- Ling, Y.; Wagner, J. L.; Beresh, S. J.
- Physics of Fluids, Vol. 24, Issue 11